Question

If tan theta= 15/17 and theta + alpha= 90 find the value of cot alpha

Answer 1

refer to the attachment

Answer 2

The value of  $\cot \alpha=\frac{15}{17}$.

Step-by-step explanation:

Given : If  $\tan\theta=\frac{15}{17}$ and $\theta+\alpha=90$.

To find : The value of $\cot\alpha$ ?

Solution :

We have given, $\tan\theta=\frac{15}{17}$

$\theta+\alpha=90$

Take $\alpha$ to one side,

$\alpha=90-\theta$

Taking cot both side,

$\cot \alpha=\cot (90-\theta)$

Using trigonometric property,  $\cot (90-\theta)=\tan \theta$

$\cot \alpha=\tan \theta$

$\cot \alpha=\frac{15}{17}$

Therefore, the value of $\cot \alpha=\frac{15}{17}$.

#Learn more

Tan theta + tan 4 theta + tan 7 theta = tan theta tan 4 theta tan 7 theta , then theta = answer with explanation ​

https://brainly.in/question/13288480